This was largely my experience up through high school. Science was taught as a body of facts, and less so taught as a process. When process was mentioned, it was taught as THE scientific method...which is not exactly how research is done! The whole body-of-facts approach makes it boring to most people.
Beginning in undergraduate courses, it was somewhat better. Mainly the beginning undergraduate courses were all about getting one up to date on a few centuries of research, and there just wasn't time to discuss the frontiers of the field. Really good teachers made time for it, and stressed that there is much more to be learned. I don't think any graduate school science course, at least among the physics ones I've taken, have treated the field that way. The underlying assumption was that there is much more to be learned. But that's why there is graduate school.